%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN981+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:21:39 PM UTC 2026
% Result : Theorem 0.17s 5.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN981+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.46 % Computer : n015.cluster.edu
% 0.17/5.46 % Model : x86_64 x86_64
% 0.17/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.46 % Memory : 8046.5625MB
% 0.17/5.46 % OS : Linux 6.8.0-71-generic
% 0.17/5.46 % CPULimit : 300
% 0.17/5.46 % WCLimit : 300
% 0.17/5.46 % DateTime : Mon Sep 21 11:35:27 UTC 2026
% 0.17/5.46 % CPUTime :
% 0.17/5.47 % Drodi V4.1.1
% 0.17/5.49 % Refutation found
% 0.17/5.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/5.49 % SZS output start CNFRefutation for theBenchmark
% 0.17/5.49 fof(f1,conjecture,(
% 0.17/5.49 ( ( (! [X] :( p(X)=> q(X) ))& (? [Y] :( q(Y)=> r(Y) ) ))=> (? [Z] :( p(Z)=> r(Z) ) )) ),
% 0.17/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.49 fof(f2,negated_conjecture,(
% 0.17/5.49 ~(( ( (! [X] :( p(X)=> q(X) ))& (? [Y] :( q(Y)=> r(Y) ) ))=> (? [Z] :( p(Z)=> r(Z) ) )) )),
% 0.17/5.49 inference(negated_conjecture,[status(cth)],[f1])).
% 0.17/5.49 fof(f3,plain,(
% 0.17/5.49 (((![X]: (~p(X)|q(X)))&(?[Y]: (~q(Y)|r(Y))))&(![Z]: (p(Z)&~r(Z))))),
% 0.17/5.49 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.17/5.49 fof(f4,plain,(
% 0.17/5.49 ((![X]: (~p(X)|q(X)))&((?[Y]: ~q(Y))|(?[Y]: r(Y))))&((![Z]: p(Z))&(![Z]: ~r(Z)))),
% 0.17/5.49 inference(miniscoping,[status(thm)],[f3])).
% 0.17/5.49 fof(f5,plain,(
% 0.17/5.49 ((![X]: (~p(X)|q(X)))&(~q(sK0_skl)|r(sK1_skl)))&((![Z]: p(Z))&(![Z]: ~r(Z)))),
% 0.17/5.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl),skolemize(Y,sK1_skl)],[f4])).
% 0.17/5.49 fof(f6,plain,(
% 0.17/5.49 ![X0]: (~p(X0)|q(X0))),
% 0.17/5.49 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/5.49 fof(f7,plain,(
% 0.17/5.49 ~q(sK0_skl)|r(sK1_skl)),
% 0.17/5.49 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/5.49 fof(f8,plain,(
% 0.17/5.49 ![X0]: (p(X0))),
% 0.17/5.49 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/5.49 fof(f9,plain,(
% 0.17/5.49 ![X0]: (~r(X0))),
% 0.17/5.49 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/5.49 fof(f10,plain,(
% 0.17/5.49 ![X0]: (q(X0))),
% 0.17/5.49 inference(forward_subsumption_resolution,[status(thm)],[f6,f8])).
% 0.17/5.49 fof(f11,plain,(
% 0.17/5.49 r(sK1_skl)),
% 0.17/5.49 inference(forward_subsumption_resolution,[status(thm)],[f7,f10])).
% 0.17/5.49 fof(f12,plain,(
% 0.17/5.49 $false),
% 0.17/5.49 inference(resolution,[status(thm)],[f11,f9])).
% 0.17/5.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/5.52 % Elapsed time: 0.046747 seconds
% 0.23/5.52 % CPU time: 0.133269 seconds
% 0.23/5.52 % Total memory used: 20.729 MB
% 0.23/5.52 % Net memory used: 20.477 MB
%------------------------------------------------------------------------------